Unbounded Commuting Operators and Multivariate Orthogonal Polynomials

DOI10.2307/2159985zbMath0796.33011OpenAlexW4247414237MaRDI QIDQ4292226

Yuan Xu

Publication date: 30 June 1994

Full work available at URL: https://doi.org/10.2307/2159985

zbMATH Keywords

spectral measure

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items

Construction of orthogonal bases for polynomials in Bernstein form on triangular and simplex domains, Identification of the theory of orthogonal polynomials in d-indeterminates with the theory of 3-diagonal symmetric interacting Fock spaces on ℂd, Commuting family of block Jacobi matrices, Recurrence Formulas for Multivariate Orthogonal Polynomials, On unbounded commuting Jacobi operators and some related issues, Three term recurrence relation modulo ideal and orthogonality of polynomials of several variables, Solutions of Three-Term Relations in Several Variables, Multivariate orthogonal polynomials: quantum decomposition, deficiency rank and support of measure

Cites Work

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• Analytic vectors
• The multidimensional moment problem
• Essential self-adjointness of semibounded operators
• Multiparameter spectral theory in Hilbert space
• Quasi-analytic vectors
• Recurrence Formulas for Multivariate Orthogonal Polynomials
• Multivariate Orthogonal Polynomials and Operator Theory
• On Multivariate Orthogonal Polynomials
• A Commutativity Theorem for Unbounded Operators in Hilbert Space
• Cyclic Operators, Commutators, and Absolutely Continuous Measures